Final answer:
The algebraic average value of polynomials can be found by calculating its average value over a given interval.
Therefore, the answer to the question is a) Zero,
Step-by-step explanation:
The algebraic average value of polynomials can be found by calculating its average value over a given interval. To find the average value of a polynomial, you can evaluate the polynomial at different values within the interval, add up the values, and then divide by the total number of values.
For example, if we have the polynomial f(x) = x^2 - 4x + 3 and we want to find its average value on the interval [1, 5], we can evaluate f(x) at x = 1, x = 2, x = 3, x = 4, and x = 5. The sum of these values is 11, and since there are 5 values, the average value of the polynomial is 11/5 = 2.2.
Therefore, the answer to the question is a) Zero, since the average value of a polynomial can be any real number.